13355920 has 20 divisors (see below), whose sum is σ = 31052700. Its totient is φ = 5342336.

The previous prime is 13355899. The next prime is 13355933. The reversal of 13355920 is 2955331.

13355920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6130576 + 7225344 = 2476^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83395 + ... + 83554.

It is an arithmetic number, because the mean of its divisors is an integer number (1552635).

Almost surely, 2^13355920 is an apocalyptic number.

13355920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13355920 is an abundant number, since it is smaller than the sum of its proper divisors (17696780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13355920 is a wasteful number, since it uses less digits than its factorization.

13355920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166962 (or 166956 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 13355920 is about 3654.5752147137. The cubic root of 13355920 is about 237.2600420355.

The spelling of 13355920 in words is "thirteen million, three hundred fifty-five thousand, nine hundred twenty".